It is known that any ellipsoid with principal semi-axes $a$, $b$, $c$ has circular planar sections (https://en.wikipedia.org/wiki/Circular_section).

• Is the largest circular disk contained within any ellipsoid given by one of its circular sections? If so, does this property hold for any quadric which has circular sections?

• What is the expression for the radius of the largest contained disk in an ellipsoid in terms of $a$, $b$, $c$?

It is known that any ellipsoid with principal semi-axes $a$, $b$, $c$ has circular planar sections (https://en.wikipedia.org/wiki/Circular_section).

• Is the largest circular disk contained within any ellipsoid given by one of its circular sections?

• What is the expression for the radius and other parameters of the largest contained disk in an ellipsoid in terms of $a$, $b$, $c$?

It is known that any ellipsoid with principal semi-axes a, b, c has circular planar sections (https://en.wikipedia.org/wiki/Circular_section).

• Is the largest circular disk contained within any ellipsoid given by one of its circular sections? If so, does this property hold for any quadric which has circular sections?

• What is the expression for the radius of the largest contained disk in an ellipsoid in terms of a, b, c?

It is known that any ellipsoid with principal semi-axes $a$, $b$, $c$ has circular planar sections (https://en.wikipedia.org/wiki/Circular_section).

• Is the largest circular disk contained within any ellipsoid given by one of its circular sections? If so, does this property hold for any quadric which has circular sections?

• What is the expression for the radius of the largest contained disk in an ellipsoid in terms of $a$, $b$, $c$?